A phragmen-lindelof principle in dynamic linear thermoelasticity

摘要

A dynamic analogue of the phragmen-Lindelof principle is established for an un- bounded body composed of an inhomogeneous and anisotropic linear thermoelastic material. The asymptotic behavior of either a volume measure of the total energy or alternative cross-sectional measure is studied. It is shown that the cross-sectional measure of a thermoelastic process either asymptotically grows faster than an increasing exponential function or asymptotically decays faster than a decreasing exponential function. A uniqueness theorem valid for infinite domains is established, and some explicit bounds for the decay rate are given.